In　this　paper　the　nonlinear　governing　equations　of　motion　for　viscoelastic　moving　belt　are　established　by　using　the　generalized　Hamilton＇s　principle　for　the　first　time.　Two　kinds　of　viscoelastic　constitutive　laws　are　adopted　to　describe　the　relation　between　the　stress　and　strain　for　viscoelastic　materials.　Moreover　the　correct　forms　of　elastic　strain　energy,　kinetic　energy,　and　the　virtual　work　performed　by　both　external　and　viscous　dissipative　forces　are　given　for　the　viscoelastic　moving　belt.　Using　the　generalized　Hamilton＇s　principle,　the　nonlinear　governing　equations　of　three-dimensional　motion　are　established　for　the　viscoelastic　moving　belt.　Neglecting　the　axial　deformation,　the　governing　equations　of　in-plane　motion　and　transverse　nonlinear　oscillations　are　also　derived　for　the　viscoelastic　moving　belt.　Comparing　the　nonlinear　governing　equations　of　motion　obtained　here　with　those　obtained　by　using　the　Newton＇s　second　law,　it　is　observed　that　the　former　completely　agree　with　the　latter.